RT info:eu-repo/semantics/article
T1 A Convergent Three-Step Numerical Method to Solve a Double-Fractional Two-Component Bose–Einstein Condensate
A1 Serna Reyes, Adán J.
A1 Macías Díaz, Jorge E.
A1 Reguera López, Nuria
K1 Two-component Bose-Einstein condensate
K1 Double-fractional system
K1 Numerically efficient scheme
K1 Matemáticas
K1 Mathematics
AB This manuscript introduces a discrete technique to estimate the solution of a doublefractional two-component Bose–Einstein condensate. The system consists of two coupled nonlinearparabolic partial differential equations whose solutions are two complex functions, and the spatialfractional derivatives are interpreted in the Riesz sense. Initial and homogeneous Dirichlet boundarydata are imposed on a multidimensional spatial domain. To approximate the solutions, we employ afinite difference methodology. We rigorously establish the existence of numerical solutions along withthe main numerical properties. Concretely, we show that the scheme is consistent in both space andtime as well as stable and convergent. Numerical simulations in the one-dimensional scenario arepresented in order to show the performance of the scheme. For the sake of convenience, A MATLABcode of the numerical model is provided in the appendix at the end of this work.
PB MDPI
YR 2021
FD 2021-06
LK http://hdl.handle.net/10259/7967
UL http://hdl.handle.net/10259/7967
LA eng
NO This research was funded by the National Council for Science and Technology of Mexico (CONACYT) through grant A1-S-45928 and by Ministerio de Ciencia e Innovación and Regional Development European Funds through project PGC2018-101443-B-I00.
DS Repositorio Institucional de la Universidad de Burgos
RD 09-may-2024